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Simplifying k2 = 63 + -2k Solving k2 = 63 + -2k Solving for variable 'k'. Reorder the terms: -63 + 2k + k2 = 63 + -2k + -63 + 2k Reorder the terms: -63 + 2k + k2 = 63 + -63 + -2k + 2k Combine like terms: 63 + -63 = 0 -63 + 2k + k2 = 0 + -2k + 2k -63 + 2k + k2 = -2k + 2k Combine like terms: -2k + 2k = 0 -63 + 2k + k2 = 0 Factor a trinomial. (-9 + -1k)(7 + -1k) = 0Subproblem 1
Set the factor '(-9 + -1k)' equal to zero and attempt to solve: Simplifying -9 + -1k = 0 Solving -9 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1k = 0 + 9 -1k = 0 + 9 Combine like terms: 0 + 9 = 9 -1k = 9 Divide each side by '-1'. k = -9 Simplifying k = -9Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve: Simplifying 7 + -1k = 0 Solving 7 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7Solution
k = {-9, 7}
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